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29 Sep 2019, 21:03
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D
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Difficulty:
35%
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Question Stats:
72% (02:33) correct
28%
(03:04)
wrong
based on 81
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The financial aid office of a certain college has agreed to provide a $9,000 grant to every student whose total family income (not including the grant) is $22,500 or less. However, for every $40 in family income above this figure, the grant is reduced by $10. If Cedric's award is reduced 40%, what is his family income?
(A) $26,100
(B) $27,000
(C) $31,500
(D) $36,900
(E) $ 44,100
(A) $26,100
(B) $27,000
(C) $31,500
(D) $36,900
(E) $ 44,100
30 Sep 2019, 01:05
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Bunuel
The financial aid office of a certain college has agreed to provide a $9,000 grant to every student whose total family income (not including the grant) is $22,500 or less. However, for every $40 in family income above this figure, the grant is reduced by $10. If Cedric's award is reduced 40%, what is his family income?
(A) $26,100
(B) $27,000
(C) $31,500
(D) $36,900
(E) $ 44,100
(A) $26,100
(B) $27,000
(C) $31,500
(D) $36,900
(E) $ 44,100
$10 grant is reduced for every $40 income higher than 22,500
--> $1 grant is reduced for $4 higher income
Cedric's award is reduced 40%
--> Reduced grant = \(\frac{40}{100}*9000 = $3,600\)
So, Income higher than \($22,500 = 4*3,600 = $14,400\)
--> Total income = \(22,500 + 14,400 = $36,900\)
IMO Option D
Pls Hit kudos if you like the solution
30 Sep 2019, 16:16
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grant value = 9000$
award is reduced by 40%
he gets ; 3600$
reduced by 5400$ ;
22500/3600 ; 6.25 value of grant is reduced by this factor
total grant value 9000*10/6.25 ; 14,400
answer will be option 14400+22500 ; 36,900
IMO D
award is reduced by 40%
he gets ; 3600$
reduced by 5400$ ;
22500/3600 ; 6.25 value of grant is reduced by this factor
total grant value 9000*10/6.25 ; 14,400
answer will be option 14400+22500 ; 36,900
IMO D
Bunuel
The financial aid office of a certain college has agreed to provide a $9,000 grant to every student whose total family income (not including the grant) is $22,500 or less. However, for every $40 in family income above this figure, the grant is reduced by $10. If Cedric's award is reduced 40%, what is his family income?
(A) $26,100
(B) $27,000
(C) $31,500
(D) $36,900
(E) $ 44,100
(A) $26,100
(B) $27,000
(C) $31,500
(D) $36,900
(E) $ 44,100
